Answers
Answer:
[tex]a=1[/tex]Step-by-step explanation:
First let's put our equation[tex]\frac{1}{a+3}=\frac{4}{16}[/tex]Cross - Multiply[tex]4a+12=16[/tex]Subtract both sides by 12[tex]4a=4[/tex]Divide both sides by 4[tex]a=1[/tex]Answer:
a=1
Step-by-step explanation:
Hi there!
We are given the proportion [tex]\frac{1}{a+3} =\frac{4}{16}[/tex], and we want to solve it for the variable, a
Before we start, we can simplify 4/16 to 1/4, since 4 is the GCF of the numerator and denominator of that fraction. Simplifying the fraction will make the computation easier, as the numbers are smaller.
Therefore, the proportion will now be:
[tex]\frac{1}{a+3} =\frac{1}{4}[/tex]
Because this is a proportion, we can cross multiply in order to solve for a; to do that, multiply a+3 by the expression that is on the top right (in this case, 1). Also multiply 4 by the expression that is on the top left (in this case, 1). Then, set them equal to each other, since it is still an equation :)
1(a+3)=4(1)
Multiply
a+3=4
Subtract 3 from both sides
a=1
Hope this helps!
Related Questions
5(a-b) if a=-4 and b=-2
Answers
5(a-b) if a=-4 and b=-2
5(-4--2)
5(-4+2)
5(-2)
-10
Answer: -10
Answer:
The expression equals -10.
Step-by-step explanation:
First, solve the expression in the parentheses. -4 - -2 can be turned into -4 + 2, which is -2. Then, multiply by the coefficient right next to the parentheses. -2 times 5 is -10.
Which table is not a proportional relationship
Answers
Answer:
B and D
Step-by-step explanation
Answer:
D
Step-by-step explanation:
sequence in the earnings is unproportional difference between 27 and 54 is not 9A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answers
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
A car salesman has 5 used cars for sale. They have a mean price of $7000. What is the total price of all 5 cars?.
Answers
Answer:
Step-by-step explanation:
5 used cars for sale. They have a mean price of $7000
. What is the total price of all 5
cars?
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
We are given total number of cars = 5 cars.
The mean of all of five cars = $7000.
Note: Total sum/value could be calculated by multiplying mean with the total numbers we have.
Total price = Mean × Total number of cars.
According to problem, mean is 7000 and total number of cars is 5.
Therefore, Total price of all 5 cars = 7000 × 5 = $35000.
a certain store is selling packages of 10 pencils and 4 pens. the manager wants to make a larger package in the same ratio. if the large package has 10 pens, how many pencils are in the large package?
Answers
Answer: 25 pencils
Step-by-step explanation:
2 × 5 = 10
5 × 5 = 25
What are the group of boxes or cells in a table that go side to side (horizontal) is called?.
Answers
Answer:
A group of boxes in a table that go side to side (horizontal) are called: Grids.
:)
A group of boxes in a table that go side to side (horizontal) are called Grids.
What is a grid answer?
A pattern of intersecting horizontal and vertical lines that creates a grid of squares is known as a rd. A grid is also a system of wires that connects several locations in a region with electricity: a power grid.When straight lines cross over one other to form squares, it is said to be in a grid pattern. The grid on maps is designed to guide you in finding a certain object or location. ...an ironwork grid.An illustration of a grid would be the lines on graph paper. noun. (football) (football) the field.Learn more about grid
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please help me. i don't understand
Answers
Answer:
#9 the answer is 7
Step-by-step explanation:
so start with what you know. the sum of the angles in a triangle equal 180 degrees
so...
(x + 13) + (17x - 7) + 48 = 180
now just combine like terms
18x + 54 = 180
18x = 126
x = 7
What is an equation of the line that passes through the points (0,-2) and (-5,4)
Answers
Answer: y = -6/5x - 2
Step-by-step explanation:
Slope = Change in y/Change in x
Our y intercept is -2 because of our point (0,-2)
Expression Twins
Write 10 expressions, then rewrite them by using
mathematical properties or simplifying by combining like terms to create an
equivalent "twin" expression. Examples:
y + y + y = 3y
4(2y + 5) = 8y + 40
Make a fake birth
announcement to display your Expression Twins!
Answers
Answer:
Step-by-step explanation:
You are 5 feet tall and cast an 8-foot shadow. A lamppost nearby casts a shadow that is 20 feet. Which equation can you use to solve for the height (ℎ) of the lamppost?
Answers
Jaycee and Tyler are selling candy bars for a school fundraiser. Rylee sold 84 candy bars and raised 210$. If Jaycee raised 70$ how many candy bars did he sell?
Answers
Answer:
28 bars because 84/3 = 28
Step-by-step explanation:
sum of all positive integers up to 1000
Answers
Step-by-step explanation:
995. Therefore, the sum of all positive integers up to 1000, which are divisible by 5 and not divisible by 2 is 50000.
product of the polynomial 5x3 + 9x2 + 6x + 1 and the monomial x ?
Answers
Answer:
5x^4+9x^3+6x^2+x
Step-by-step explanation:
HELLO PLEASE GIVE ME THE RIGHT ANSWER ASAP THANK YOU !
Answers
[tex]\large\underline{\sf{Solution-}}[/tex]
[tex]\textsf{Given expression;}\\[/tex]
[tex] \rm{23 = \frac{7}{9}(6x - 36) + 9 } \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256)}{9} + 9 \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 256 + 81)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: 23 = \frac{(42x - 175)}{9} \\ [/tex]
[tex] \rm{\longmapsto} \: \frac{23}{1} = \frac{(42x - 175)}{9} \\ [/tex]
[tex]\textsf{By doing cross multiplication, we get}\\[/tex]
[tex] \rm{\longmapsto}23(9) = 1(42x - 175) \\ [/tex]
[tex] \rm{\longmapsto}207 =42x - 175\\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 175 - 207 \\ [/tex]
[tex]\rm{\longmapsto} \: 42x = - 379 \\ [/tex]
[tex]\rm \therefore \: x = - \frac{375}{42} \\ [/tex]
[tex]\textsf{Hence, the value of x will be -375/42 respectively.}\\[/tex]
[tex]\textbf{Read more:}[/tex]
[tex]\textsf{Similar Questions}[/tex]
Solve the expression and find the value of x. [tex] \frac{x…
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can someone please help me!! this assignment is due at 11:59 I need this done
Answers
Answer:
Step-by-step explanation:
Tan (theta) = opposite / adjacent
theta = 60 degrees
opposite = 15
adjacent = opposite / Tan(theta)
adjacent = 15 / tan(60)
tan(60) = sqrt(3)
sqrt(3) = 1.732
adjacent = 15 /1.732
answer: adjacent = 8.6603
7.4x10^7 in standard form
Answers
Answer: 740000000
Step-by-step explanation:
Answer:
0.000074
7.4×10−5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4×10−5=0.000074
Raisins and peanuts, again! Sig’s class was told that their mixture is 80% raisins and 20% peanuts. In Sig’s sample, he counted 48 raisins. About how many peanuts would you expect to be in Sig’s sample?
Answers
Answer:
About 12 peanuts. This is 20% of 60 (nuts and peanuts together)
Step-by-step explanation:
Let there be a total of n pieces in the mixture. Then, focusing on raisins, 0.80n = 48, so that n = 60. Then the number of peanuts is 0.20(60) = 12.
What’s that answer please
Answers
LA Fitness Club charges an initial fee of $25
plus a monthly fee of $15. 24 hours fitness club
charges $45 initially plus $10 per month. In
how many months will the clubs cost the
same? How much is the cost?
Answers
LA fitness club: y=15x+25
24 hours fitness club: y=10x+45
Then we substitute y to make them equal
15x+25=10x+45
5x=20
x=4
So therefore, 4 months and they will be equal
For her softball uniform, Meredith has a green, white, or striped jersey. She also has white or green shorts. If Meredith chooses a
jersey and shorts randomly, what is the probability that she will go to softball practice in a striped jersey and green shorts?
1
5/6
1/5
1/6
Answers
Answer:
Mabey B) if someone else says other wise follow them.
The probability that she will go to softball practice in a striped jersey and green shorts is 1/6.
what is Probability?The ratio of good outcomes to all possible outcomes of an event is known as the probability. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.
Probability(Event) = Favorable Outcomes/Total Outcomes = x/n
Given:
Meredith has a green, white, or striped jersey.
So, probability that she will go to softball practice in a striped jersey and green shorts
= 1/3 x 1/3
= 1/6
Hence, probability that she will go to softball practice in a striped jersey and green shorts is 1/6.
Learn more about probability here:
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if f(x)=3x+7, find: f(-2)= [?]
Answers
Answer:
1
Step-by-step explanation:
substitute -2 for x
3(-2) + 7
-6 + 7
1
hope it helps :)
mark brainliest!!
The final amount of 893 decreased by 19% followed by a 17% decrease
Answers
Answer:
the answer is 600.36_____
（︶^︶）Brainliest for everyone!!!! ohh wait ????
Answers
Answer:
[tex]\frac{81}{256}[/tex]
Step-by-step explanation:
[tex](\frac{3}{4})^4 \\\rule{150}{0.5}\\\\\text{Note the exponent rule: }( \frac{a}{b}) ^c = \frac{a^c}{b^c} \\\rule{150}{0.5}\\\\\frac{3^4}{4^4}\\\\\rightarrow 3^4 = 81\\\rightarrow 4^4 = 256\\\\\boxed{\frac{81}{256}}\\\\\text{The answer is already in it's simplest form.}[/tex]
Layla has a points card for a movie theater.
She receives 30 rewards points just for signing up.
She earns 13.5 points for each visit to the movie theater.
She needs at least 50 points for a free movie ticket.
Which inequality can be used to determine xx, the minimum number of visits Layla needs to earn her first free movie ticket?
Answers
Answer:
2
Step-by-step explanation:
Answer:
30+13.5=43.5 so she needs 6.5 more points
Step-by-step explanation:
When air is pumped into an automobile
tire, the pressure is inversely proportional to
the volume. If the pressure is 35 pounds
when the volume is 120 cubic inches, what
is the pressure when the volume is 140
cubic inches?
Answers
Answer:
I think it is 68.5714285714 cubic inches
Step-by-step explanation:
4.
What property could you use to show that these two triangles are congruent?
Two triangles
HL
SSS
SAS
ASA
Answers
Answer:
All four
Step-by-step explanation:
SSS, SAS, ASA, and HL
Two trains leave a train station traveling on parallel and adjacent tracks. Train A is traveling due north at a constant speed of 76 miles per hour. Train B is traveling due south at a constant speed of 44 miles per hour. If both trains leave the station at the same time, in approximately how many minutes will the trains be 22 miles apart? O 11 O 18 O 60 o 98
Answers
Answer:
TWO TRAINS IM SORRY LOLLL
Answer:
18 minutes
Step-by-step explanation:
2. Kendall skated around the park 15 times in 25 minutes. If Kendall continues to skate at the same speed, how many times will he skate around the park in 48 minutes?
Answers
Answer:
28.8 rounds.
Step-by-step explanation:
Solve this using ratio
---------
15 rounds / 25 minutes
---------
Find out how many rounds per minutes: 25/15
1 round / (5/3) minutes
--------------
48 divided by (5/3) to get rounds now.
---> (48*3)/5 ---> 144/5 ---> 28.8
-----------------
28.8 rounds. So she only completed 28 full rounds as she didn't manage to complete 29 just yet.
Need only #6 done (Show work) will give brainliest
Answers
Answer:
See belowStep-by-step explanation:
Statements | Reasons
C is the midpoint of AB | Given
AC = 2x + 1 | Given
CB = 3x - 4 | Given
AC = CB | Definition of midpoint
2x + 1 = 3x - 4 | Substitution property
3x - 2x = 1 + 4 | Addition property of equality
x = 5 | Proved
The line is as below:
A-----------------C----------------B
2x + 1 3x - 4
Students and adults purchased tickets for a recent Math Fun Night fundraiser. 350 tickets were sold and $2,950 was collected. Each student ticket sold for $5 and adult tickets were sold for $10 each. How many adult and student tickets were sold? Let x=_______ Let y=______. I have no idea how to solve this, maybe you can help? If so, start off with the let statements and can you send the steps along with it too?
Answers
Answer:
fun one
110 student tickets
240 adult tickets
Step-by-step explanation:
what i did is use two equations
x+y<= 350
and 5×+10y<3950
graph both on desmos or smash them together to find x and y and you get 110 student tickets and 240 adult tickets